Home / 10,517.42-15,765.45-6,822

Finding the Fourth Proportional to 10,517.42, 15,765.45 and 6,822

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Solution

The fourth proportional to 10,517.42, 15,765.45 and 6,822 is: 10,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.42 : 15,765.45 = 6,822 : x
  2. Step 2: Convert to fraction form
    10,517.42/15,765.45 = 6,822/x
  3. Step 3: Cross multiply
    10,517.42x = 15,765.45 × 6,822
  4. Step 4: Simplify right side
    10,517.42x = 107,551,899.90
  5. Step 5: Solve for x
    x = 107,551,899.90/10,517.42
  6. Step 6: Final answer
    x = 10,226.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.